Angelo Favini, Alfredo Lorenzi, Hiroki Tanabe
Abstract:
Real interpolation spaces are used for solving some direct and inverse
linear evolution problems in Banach spaces, on the ground of space
regularity assumptions.
Submitted November 10, 2012. Published December 11, 2012.
Math Subject Classifications: 35R30, 34G10, 35K20, 35K50, 45N05, 45Q05.
Key Words: Direct and inverse problems; first-order equations in Banach spaces;
linear parabolic integro-differential equations;
existence and uniqueness.
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Angelo Favini Dipartimento di Matematica Università degli Studi di Bologna Piazza di Porta S. Donato 5, 40126, Bologna, Italy email: favini@dm.unibo.it |
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| Alfredo Lorenzi Dipartimento di Matematica ``F. Enriques'' Università degli Studi di Milano via Saldini 50, 20133 Milano, Italy email: alfredo.lorenzi@unimi.it | |
| Hiroki Tanabe Takarazuka, Hirai Sanso 12-13 665-0817, Japan email: h7tanabe@jttk.zaq.ne.jp |
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